Search a number
-
+
2132152339884 = 223767491771583
BaseRepresentation
bin11111000001101110001…
…011101100110110101100
321112211110100210021211220
4133001232023230312230
5234413121444334014
64311255224143340
7310020502600560
oct37015613546654
97484410707756
102132152339884
11752271457806
122a5285607b50
131260a43211a8
14752a7b4b6a0
153a6dec966a9
hex1f06e2ecdac

2132152339884 has 96 divisors (see below), whose sum is σ = 5782361604096. Its totient is φ = 598871085120.

The previous prime is 2132152339871. The next prime is 2132152339903. The reversal of 2132152339884 is 4889332512312.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2377557 + ... + 3149139.

It is an arithmetic number, because the mean of its divisors is an integer number (60232933376).

Almost surely, 22132152339884 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132152339884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2891180802048).

2132152339884 is an abundant number, since it is smaller than the sum of its proper divisors (3650209264212).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2132152339884 is a wasteful number, since it uses less digits than its factorization.

2132152339884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772155 (or 772153 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The spelling of 2132152339884 in words is "two trillion, one hundred thirty-two billion, one hundred fifty-two million, three hundred thirty-nine thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 402 469 491 804 938 982 1407 1473 1876 1964 2814 2946 3437 5628 5892 6874 10311 13748 20622 32897 41244 65794 98691 131588 197382 230279 394764 460558 690837 771583 921116 1381674 1543166 2314749 2763348 3086332 4629498 5401081 9258996 10802162 16203243 21604324 32406486 51696061 64812972 103392122 155088183 206784244 310176366 361872427 378847253 620352732 723744854 757694506 1085617281 1136541759 1447489708 1515389012 2171234562 2273083518 2651930771 4342469124 4546167036 5303861542 7955792313 10607723084 15911584626 25382765951 31823169252 50765531902 76148297853 101531063804 152296595706 177679361657 304593191412 355358723314 533038084971 710717446628 1066076169942 2132152339884